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Finding the Fourth Proportional to 994.32, 1,373.62 and 785.88

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Solution

The fourth proportional to 994.32, 1,373.62 and 785.88 is: 1,085.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.32 : 1,373.62 = 785.88 : x
  2. Step 2: Convert to fraction form
    994.32/1,373.62 = 785.88/x
  3. Step 3: Cross multiply
    994.32x = 1,373.62 × 785.88
  4. Step 4: Simplify right side
    994.32x = 1,079,500.49
  5. Step 5: Solve for x
    x = 1,079,500.49/994.32
  6. Step 6: Final answer
    x = 1,085.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.